LCM of 511, 444, 421, 730, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 444, 421, 730, 138 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 511, 444, 421, 730, 138. So, keep reading to learn more.
Given numbers are 511,444,421,730,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,444,421,730,138 is 10984588860.
Find LCM of 511,444,421,730,138 with Prime Factorization
| 2 | 511, 444, 421, 730, 138 |
| 3 | 511, 222, 421, 365, 69 |
| 73 | 511, 74, 421, 365, 23 |
| 7, 74, 421, 5, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 73 x 7 x 74 x 421 x 5 x 23 = 10984588860
Therefore, the lowest common multiple of 511,444,421,730,138 is 10984588860.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
511 x 444 x 421 x 730 x 138 = 9622499841360
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
511 : 1, 7, 73, 511
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
421 : 1, 421
730 : 1, 2, 5, 10, 73, 146, 365, 730
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,444,421,730,138, is 1.
Now, the common factors can be found like this.
511:7x 73
444:2x 2x 3x 37
421:421
730:2x 5x 73
138:2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 73 = 876
Therefore, the value for common factors is 876.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 9622499841360/(1x876)
LCM = 9622499841360/876
LCM = 10984588860
Thus, we can understand that the LCM of 511,444,421,730,138 is 10984588860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 511, 444, 421, 730, 138
1. What is the LCM of 511, 444, 421, 730, 138?
Answer: LCM of 511, 444, 421, 730, 138 is 10984588860.
2. How to calculate the LCM of 511, 444, 421, 730, 138?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 511, 444, 421, 730, 138.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.